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Finding the Third Proportional to 7,021.50 and 14,908.88

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Solution

The third proportional to 7,021.50 and 14,908.88 is: 31,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.50 : 14,908.88 = 14,908.88 : x
  2. Step 2: Convert to fraction form
    7,021.50/14,908.88 = 14,908.88/x
  3. Step 3: Cross multiply
    7,021.50x = 14,908.88 × 14,908.88
  4. Step 4: Simplify right side
    7,021.50x = 222,274,553.77
  5. Step 5: Solve for x
    x = 222,274,553.77/7,021.50
  6. Step 6: Final answer
    x = 31,656.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.